@Article{Santos:2019:SiPaSp,
author = "Santos, Josu{\'e} Cardoso dos",
affiliation = "{Instituto Nacional de Pesquisas Espaciais (INPE)}",
title = "Simple parameters spaces analysis of roto-orbital integrable
Hamiltonians for an axisymmetric rigid body",
journal = "Journal of Physics: Conference Series",
year = "2019",
volume = "1365",
number = "1",
pages = "e012015",
month = "Nov.",
note = "{XIX Brazilian Colloquium on Orbital Dynamics 2018}",
abstract = "The present work presents a test of two Hamiltonians that produce
integrable models recently proposed to study the roto-orbital
motion of an axisymmetric rigid body in motion under a central
gravitational field. The dynamics assumed here is approached by
the motion of an axisymmetric rigid body orbiting another massive
spherical one. Based on the concept of intermediary, both models
are treated in Hamiltonian formalism, as perturbation of the
Keplerian-Eulerian motion, using canonical variables associated to
the total angular momentum. An analysis of parameters introduced
to visualize possible different applications are made, in this
case with special focus in binary asteroid type dynamics. The
parameters space analysis present comparisons of two recently
proposed intermediaries with respect to the original
non-analytically integrable model and with respect to each other.
In conclusion, both models behave well in regions of the
parameters space where they were proposed to be valid.",
doi = "10.1088/1742-6596/1365/1/012015",
url = "http://dx.doi.org/10.1088/1742-6596/1365/1/012015",
issn = "1742-6588",
language = "en",
targetfile = "santos_simple.pdf",
urlaccessdate = "28 mar. 2024"
}